What is the domain and range of #y =- sqrt(1 - x)#?

1 Answer
Apr 20, 2018

#:. D_f : x<=1#

#R_f : y<=0#

Explanation:

The term inside the Square root must be non-negative for the
function to be defined so ;

Domain of function is #D_f# :

#D_f : 1-x >=0#

#:. D_f : x<=1#

Since the function attains all the negative values and also #0# .

#:.#the range of function is thus #R_f : y<=0#

The graph of the function is given below :-

GeoGebra Classic App